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9 - Mixing for the Burgers Equation Driven by a Localized Two-Dimensional Stochastic Forcing

Published online by Cambridge University Press:  25 October 2017

Armen Shirikyan
Affiliation:
Department of Mathematics, Université de Cergy-Pontoise
Kaïs Ammari
Affiliation:
Université de Monastir, Tunisia
Stéphane Gerbi
Affiliation:
Université Savoie Mont Blanc, France
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Summary

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Type
Chapter
Information
Evolution Equations
Long Time Behavior and Control
, pp. 179 - 194
Publisher: Cambridge University Press
Print publication year: 2017

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References

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[12] R., Iturriaga and K., Khanin, Burgers turbulence and random Lagrangian systems, Comm. Math. Phys. 232 (2003), no. 3, 377–428.Google Scholar
[13] S., Kuksin and A., Shirikyan, Mathematics of Two-Dimensional Turbulence, Cambridge University Press, Cambridge, (2012).
[14] E.M., Landis, Second Order Equations of Elliptic and Parabolic Type, American Mathematical Society, Providence, RI, (1998).
[15] J.-L., Lions, Quelques Méthodes de Résolution des Problèmes aux Limites Non Linéaires, Dunod, Paris, (1969).
[16] S., Rodrigues and A., Shirikyan, Global exponential stabilisation for a damped-driven conservation law with localised control and applications, in preparation.
[17] A., Shirikyan, Control and mixing for 2D Navier–Stokes equations with space-time localised noise, Ann. Sci. Éc. Norm. Supér. (4) 48 (2015), no. 2, 253–80.Google Scholar

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